Calculate Rectangle Area: 8-Unit Width and 2-Unit Height Problem

Rectangle Area with Given Dimensions

Look at the rectangle below.

888222AAABBBCCCDDDEEEFFF

What is the area of the rectangle ABCD?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the area of the rectangle ABCD
00:03 Opposite sides are equal in the rectangle
00:09 The line intersects the side according to the given data
00:16 The entire side equals the sum of its parts
00:22 Apply the formula for calculating the area of the rectangle
00:25 Side(AB) multiplied by side(BC)
00:28 Insert the relevant values into the formula and solve to find the area
00:31 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the rectangle below.

888222AAABBBCCCDDDEEEFFF

What is the area of the rectangle ABCD?

2

Step-by-step solution

Given that in a rectangle every pair of opposite sides are equal, we can claim that:

AB=DC=8 AB=DC=8

and also:

BE=EC=2 BE=EC=2

In other words, BC equals 4

Now we can find the area of the rectangle by multiplying the length by the width:

AB×BC=8×4=32 AB\times BC=8\times4=32

3

Final Answer

32 cm²

Key Points to Remember

Essential concepts to master this topic
  • Formula: Rectangle area equals length multiplied by width
  • Calculation: Multiply 8 × 4 to get 32 square units
  • Check: Verify dimensions are correct: width=8, height=4 units ✓

Common Mistakes

Avoid these frequent errors
  • Using partial height measurement instead of full height
    Don't use just the marked segment BE = 2 for the height calculation = wrong area of 16! The diagram shows BE is only half the height. Always use the complete height BC = 4 units for area calculations.

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

FAQ

Everything you need to know about this question

Why is the height 4 and not 2?

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The diagram shows BE = 2, but this is only half the rectangle's height. Since E is the midpoint of side BC, the full height is BC = 2 × 2 = 4 units.

What does the point E represent in this rectangle?

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Point E is the midpoint of side BC. It divides the rectangle's height into two equal segments of 2 units each, giving us the total height of 4 units.

How do I know which measurement is length and which is width?

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For area calculations, it doesn't matter! Area = length × width gives the same result whether you calculate 8 × 4 or 4 × 8. Both equal 32 square units.

Why are there extra points F and other letters in the diagram?

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These are just reference points to help identify different parts of the rectangle. Focus on the dimensions: width AB = 8 and height BC = 4 for your area calculation.

What units should I use for the area?

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Since the dimensions are given as 8 and 4 units, the area is 32 square units. If specific units like cm were given, you'd write 32 cm².

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